1-Proportion Z-Test (Hypothesis Testing) (TI-83 & TI-84)

In this video, we will see how one can lift outthe one-percentage Z-experiment on the TI-eighty three and the eighty four. The directions for the twocalculators are equal. We begin with an example from Openintro’s develop high school information. Now we have Deborah Tooheyis strolling for Congress, and her crusade manager claimed that she has more than 50% help from the district’s citizens. A newspaper ballot finds that52% of the five hundred seemingly voters who have been sampled help Toohey. Does this furnish convincingevidence for the declare through Toohey’s supervisor atthe 5% value stage? So we all know we wish to calculatea one-proportion Z-experiment.We’ve got our null hypothesisthat her real proportion of support is 0.5, and the alternate hypothesis that her actual percentage ofsupport is bigger than 0.5. After we examine our conditions, and we do the NP, continually use the hypothesizedvalue of P right here, which is 0.5, no longer the sample share, which is 0.Fifty two. So here we use the 0.5 fromour hypothesized share to check that it is greaterthan or equal to 10 and in addition count on you havea simple random sample. And then while you calculate the SE, also use the hypothesized share. Again, don’t use the sampleproportion down right here. The quantity right here shouldmatch the second quantity, not the primary number. Now that we’ve got our predicament installed, we will use the calculatorto find the Z-statistic and the p-worth. So we’ll wantto go to STAT, checks, and do one-proportionZ-experiment, or 1-PropZTEST. So every time we’transforming with proportions, you’ll STAT, exams. We clearly want the phrase Prop in there, so we don’t want tochoose the average Z-scan. We wish to prefer theone-percentage Z-test, considering the fact that we’ve got proportions. So we get the one-percentage Z-test, and the first thing itasks for is p-sub-zero.So we have to know p-sub-zero is the hypothesized proportion. So we ought to enter thehypothesized percentage, which right here is zero.5. Which will enter zero.5, and Enter. After which we additionally need X. X here is the numberof yes’s within the pattern. So whereas p-zero is a share, X is a quantity, and it can be the number ofactual sure’s within the sample. So here, i do know that fifty two% ofthe 500 respondents said sure. So i can do this calculation in my head or i will be able to do it on the calculator here, so I get fifty two% or zero.52, instances the 500, so this is fifty two% of the 500, is 260. So this is how manyyes’s have been within the sample. This must be an integer. So if this calculation comesout to not be an integer, you must round itto the nearest integer, or else you can get an error. So we’ve got p-zero is thehypothesized percentage, X is the number of yes’s inthe sample as an integer, N is our pattern size, which is 500.Use the Down arrow and the Over arrow to search out our alternatehypothesis is higher than. So we hit Enter here tohighlight the better than, which fits this greater than. Hit the Down arrow once more,and hit Enter for calculate. And we get our Z-statistic of zero.89. So as to fill that in. And our p-worth of 0.186, shall we embrace. Zero.186. This is absolutely greater than alpha, so we do not reject H-sub-o. And we don’t have any evidencethat her authentic help is larger than 50%. We don’t have any evidence thather manager was once correct. That is it for this video. If you happen to like this video, supply it a thumbs-up and subscribe below. Thanks for watching..

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